Allardyce, 55, underwent an angioplasty, a procedure to correct narrowing to one branch of his coronary arteries on Friday.
He was recovering at home on Saturday while his side drew 0-0 against Stoke at Ewood Park.
It was the third match he has missed but he could be back in charge on Wednesday when Blackburn are at home to Chelsea in a Carling Cup quarter-final tie.
Rovers No2 Neil McDonald said: "I believe Sam was discharged this afternoon and I imagine he is resting at home.
"I am told he is on schedule for next week as expected and hopefully we will see him then."